A Novel Distance between Vague Sets and Its Applications in Decision Making

Table 1

The results of existing distances between vague sets 𝐴, 𝐵, and 𝐶.

Distance between VSs	𝐴=[1,1], 𝐵=[0,0]	𝐴=[1,1], 𝐶=[0,1]	𝐵=[0,0], 𝐶=[0,1]
	𝑑(𝐴,𝐵)	𝑑(𝐴,𝐶)	𝑑(𝐵,𝐶)
𝑑^Ata𝐻	1.0	0.5	0.5
𝑑^Ata𝐸	1.0	1/2	1/2
𝑑^Sz𝐻	1.0	1.0	1.0
𝑑^Sz𝐸	1.0	1.0	1.0
𝑑^Liu𝑛𝐸(𝑝=2)	1.0	1.0	1.0
𝑑^Hung𝐻	1.0	1.0	1.0
𝑑^Hung𝐸	1.0	1.0	1.0
𝑑^Yang𝐻	1.0	1.0	1.0
𝑑^Yang𝐸	1.0	1.0	1.0
𝑑^Luo𝐻	1.0	1.0	1.0
𝑑^Wang	1.0	0.75	0.75
𝑑^Wang𝑝(𝑝=2)	1.0	1/2	1/2